Run a regression analysis on the following bivariate set of data with y as the response variable. x y 70.2 -67.3 8 115.8 52.6 -8.1 23.4 85.7 61.8 6.6 40.7 23.7 39 86.4 61.5 11.2 24.6 66.5 24.6 37.8...



Run a regression analysis on the following bivariate set of data withy as the response variable.

























































xy
70.2-67.3
8115.8
52.6-8.1
23.485.7
61.86.6
40.723.7
3986.4
61.511.2
24.666.5
24.637.8
21.1125
2.3109.1

Find the correlation coefficient and report it accurate to three decimal places.

r =


What proportion of the variation iny can be explained by the variation in the values ofx? Report answer as a percentage accurate to one decimal place.  (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.)

r² = %


Based on the data, calculate the regression line (each value to three decimal places)


y =  + x


Predict what value (on average) for the response variable will be obtained from a value of 32.4 as the explanatory variable. Use a significance level of α=0.05α=0.05 to assess the strength of the linear correlation.


What is the predicted response value?  (Report answer accurate to one decimal place.)

y =





Jun 08, 2022
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